COORDINATE GEOMETRY New YorkState Learning Standards for Mathematics
Content Strand: Geometry
Band: Students will apply coordinate geometry to analyze problem solving situations. Performance Indicator: 5.G.12
Identify and plot points in the first quadrant
Ex. 1
Locate each point on the coordinate grid in the first quadrant.
A(2,6) B(5,3) C(10,4) D(7,7)
*NEEDS A COORDINATE GRID- NOT ON DATAMENTOR Ans.Students must know to begin at the origin and first move right to the x-coordinate number and from there move up to the y-coordinate number.
Ex. 2
What are the coordinates (ordered pair) for point K?
F(5,6) G(6,5) H(6,6) J(7,5) Ex. 3
Which point is plotted at (5,8)?
Ex. 4 The shaded circle shows a bull’s eye in the center.
What coordinates give the location of the bull’s eye? Ans.(7,5)
New YorkState Learning Standards for Mathematics
Content Strand: Geometry
Band: Students will apply coordinate geometry to analyze problem solving situations. Performance Indicator: 5.G.13
Plot points to form basic geometric shapes (identify and classify) Ex. 1
Plot the three vertices of a rectangle as given. Locate the fourth vertex and give its ordered pair. Given: (8,2), (8,8) and (4,8) Ans.
Ex. 3 Two vertices of a square are located on the coordinate grid. Give all possible answers for the other two vertices of the square.
Ans.
(2,3) and (2,7) or (10,3) and (10,7) Carlos plots two points on the grid below.
He wants to plot two more points and then connect all four points to form a square.
Which two points should Carlos plot to form a square?
A.
(4,2) and (8,6)
B.
(4,6) and (6,6)
C.
(4,2) and (6,2)
D.
(4,6) and (8,2)
On the grid below
plot and label the points: A (1, 5), B (3, 2), C (6, 2), D (8, 5)
connect the points in order, starting with point A, to draw a quadrilateral
What type of quadrilateral is formed by connecting points A, B, C, and D? Answer On the lines below, explain how you determined the type of quadrilateral plotted on the grid. ---- ---- ----
Michael plots three points on the grid below and connects the points.
What coordinates should Michael plot next if he wants to draw a parallelogram?
A.
(10, 2)
B.
(6, 2)
C.
(2, 8)
D.
(2, 6)
New York State Learning Standards for Mathematics Content Strand: Geometry
Band: Students will apply coordinate geometry to analyze problem solving situations. Performance Indicator: 5.G.14 Calculate perimeter of basic geometric shapes drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths and parallel to the axes) Ex. 1
What is the perimeter of the rectangle plotted on the grid?
A 24 units B 20 units C 16 units D 10 units Ans.
P
6 + 6 + 4 + 4
20 units. Choice B Ex. 2
Two rectangles were combined to make the figure shown on the grid. What is the perimeter of the figure?
Ans.
P =30 units Ex. 3
The T-shape shown was made of two different rectangles. Determine the perimeter of the shape.
Ans. Related Activities:
Draw the outline of a block capital letter on the grid so each vertex is exactly on a point of location. Calculate the perimeter of the letter.
Ans. According to the letter chosen by a student, the answers will vary.
A 24 units B 20 units C 16 units D 10 units Ans.
P
6 + 6 + 4 + 4
20 units. Choice B Ex. 2
Two rectangles were combined to make the figure shown on the grid. What is the perimeter of the figure?
Ans.
P =30 units Ex. 3
The T-shape shown was made of two different rectangles. Determine the perimeter of the shape.
Ans. Related Activities:
Draw the outline of a block capital letter on the grid so each vertex is exactly on a point of location. Calculate the perimeter of the letter.
Ans. According to the letter chosen by a student, the answers will vary.
COORDINATE GEOMETRY
New York State Learning Standards for Mathematics
Content Strand: Geometry
Band: Students will apply coordinate geometry to analyze problem solving situations.
Performance Indicator: 5.G.12
Identify and plot points in the first quadrant
Ex. 1
Locate each point on the coordinate grid in the first quadrant.
A(2,6) B(5,3) C(10,4) D(7,7)
*NEEDS A COORDINATE GRID- NOT ON DATAMENTOR
Ans. Students must know to begin at the origin and first move right to the x-coordinate number and from there move up to the y-coordinate number.
Ex. 2
What are the coordinates (ordered pair) for point K?
F (5,6) G (6,5)
H (6,6) J (7,5)
Ex. 3
Which point is plotted at (5,8)?
Ex. 4
The shaded circle shows a bull’s eye in the center.
What coordinates give the location of the bull’s eye?
Ans. (7,5)
New York State Learning Standards for Mathematics
Content Strand: Geometry
Band: Students will apply coordinate geometry to analyze problem solving situations.
Performance Indicator: 5.G.13
Plot points to form basic geometric shapes (identify and classify)
Ex. 1
Name the figure when the points are connected?
A rectangle B trapezoid
C rhombus D parallelogram
Ans. C
Ex. 2
Plot the three vertices of a rectangle as given. Locate the fourth vertex and give its ordered pair. Given: (8,2), (8,8) and (4,8)
Ans.
Ex. 3
Two vertices of a square are located on the coordinate grid. Give all possible answers for the other two vertices of the square.
Ans.
(2,3) and (2,7) or (10,3) and (10,7)
Carlos plots two points on the grid below.
He wants to plot two more points and then connect all four points to form a square.
Which two points should Carlos plot to form a square?
On the grid below
- plot and label the points: A (1, 5), B (3, 2), C (6, 2), D (8, 5)
- connect the points in order, starting with point A, to draw a quadrilateral
What type of quadrilateral is formed by connecting points A, B, C, and D?Answer
On the lines below, explain how you determined the type of quadrilateral plotted on the grid.
----
----
----
Michael plots three points on the grid below and connects the points.
What coordinates should Michael plot next if he wants to draw a parallelogram?
New York State Learning Standards for Mathematics
Content Strand: Geometry
Band: Students will apply coordinate geometry to analyze problem solving situations.
Performance Indicator: 5.G.14
Calculate perimeter of basic geometric shapes drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths and parallel to the axes)
Ex. 1
What is the perimeter of the rectangle plotted on the grid?
A 24 units B 20 units
C 16 units D 10 units
Ans.
P
6 + 6 + 4 + 4
20 units. Choice BEx. 2
Two rectangles were combined to make the figure shown on the grid. What is the perimeter of the figure?
Ans.
P =30 units
Ex. 3
The T-shape shown was made of two different rectangles. Determine the perimeter of the shape.
Ans.
Related Activities:
Draw the outline of a block capital letter on the grid so each vertex is exactly on a point of location. Calculate the perimeter of the letter.
Ans.
According to the letter chosen by a student, the answers will vary.
A 24 units B 20 units
C 16 units D 10 units
Ans.
P
6 + 6 + 4 + 4
20 units. Choice BEx. 2
Two rectangles were combined to make the figure shown on the grid. What is the perimeter of the figure?
Ans.
P =30 units
Ex. 3
The T-shape shown was made of two different rectangles. Determine the perimeter of the shape.
Ans.
Related Activities:
Draw the outline of a block capital letter on the grid so each vertex is exactly on a point of location. Calculate the perimeter of the letter.
Ans.
According to the letter chosen by a student, the answers will vary.